Magnetic Lieb-Thirring inequalities

DOI10.1007/BF02099152zbMath0843.47040OpenAlexW2136453964MaRDI QIDQ1912586

László Erdős

Publication date: 18 August 1996

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02099152

zbMATH Keywords

heat kernelLieb-Thirring inequalitymagnetic Schrödinger operator with nonconstant magnetic fieldstochastic Feynman-Kac representation

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) Electromagnetic interaction; quantum electrodynamics (81V10) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20)

Related Items (15)

CONTINUITY PROPERTIES OF SCHRÖDINGER SEMIGROUPS WITH MAGNETIC FIELDS ⋮ The Lieb–Thirring inequalities: Recent results and open problems ⋮ Hartree-Fock theory with a self-generated magnetic field ⋮ Estimates on stochastic oscillatory integrals and on the heat kernel of the magnetic Schrödinger operator ⋮ DISCRETENESS OF SPECTRUM FOR THE MAGNETIC SCHRÖDINGER OPERATORS ⋮ Magnetic Energies and Feynman–Kac–Itô Formulas for Symmetric Markov Processes ⋮ On the Lieb-Thirring estimates for the Pauli operator ⋮ On a magnetic Lieb–Thirring-type estimate and the stability of bipolarons in graphene ⋮ Dia- and paramagnetism for nonhomogeneous magnetic fields ⋮ Hardy-Lieb-Thirring inequalities for fractional Pauli operators ⋮ Semiclassical eigenvalue estimates for the Pauli operator with strong nonhomogeneous magnetic fields. I: Nonasymptotic Lieb-Thirring-type estimate. ⋮ On moments of negative eigenvalues for the Pauli operator ⋮ Asymptotic distribution of negative eigenvalues for two dimensional Pauli operators with nonconstant magnetic fields ⋮ The reduced Hartree-Fock model with self-generated magnetic fields ⋮ On moments of negative eigenvalues for the Pauli operator

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